We look at the division of 742055 by 19 
We want to figure out the number of times 742055 can be divided by 19.

Going ahead to step 1:
The number 19 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 19

Step 2:
19 goes into 74 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 17 after subtracting 57 from 74.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 19

Step 3:
172 divided by 19 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 39.0
If we take 171 away from 172, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 19

Moving on to step 4:
If we divide 10 by 19, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 390.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 19

Moving on to step 5:
105 divided by 19 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 3905.0
The remainder is 10 after subtracting 95 from 105.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 19

Advancing to step 6:
When dividing 105 by 19, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 39055.0
If we subtract 95 from 105, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
If we divide 100 by 19, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 39055.5
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
If we divide 50 by 19, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 39055.52
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
When dividing 120 by 19, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 39055.526
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 19 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 39055.5263
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
When dividing 30 by 19, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 39055.52631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
When dividing 110 by 19, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 39055.526315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 39055.5263157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 14:
When dividing 170 by 19, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 39055.52631578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 39055.52631578 and a remainder of 1.8e-08.